Thank you for your recommendations zondaracer. My husband actually flies for Turkish Airlines, so he is not really interested in the regionals at this time. There is no pressing reason for him to leave his current employer without a competitive (or at least comparable) job offer from one of the majors in the US.
Concerning your question, he has a bachelor's degree in business administration (from a foreign institution, so I'm pretty sure he needs to get his diploma accredited), holds an FAA PPL, EASA ATPL with Class A medical certificate, EASA instrumental rating, Airbus A330 type rating, with 2000+ flying hours.